The linear sampling method in a waveguide: A formulation based on modes

Laurent Bourgeois (1) , Éric Lunéville (1)

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

This paper concerns the Linear Sampling Method to retrieve obstacles in a 2D or 3D acoustic waveguide. We derive a modal formulation of the LSM which is suitable for the waveguide configuration. Despite the ill-posedness of the inverse problem is increased owing to the evanescent modes, numerical experiments show good reconstruction of obstacles by using the far field. © 2008 IOP Publishing Ltd.

Domaines: Analyse numérique [math.NA]; Acoustique [physics.class-ph]; Acoustique [physics.class-ph]

Laurent Bourgeois, Éric Lunéville. The linear sampling method in a waveguide: A formulation based on modes. Journal of Physics: Conference Series, 2008, 135 (-), pp.012023. ⟨10.1088/1742-6596/135/1/012023⟩. ⟨hal-00873074⟩